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Finding the Third Proportional to 189,621 and 418,608

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Solution

The third proportional to 189,621 and 418,608 is: 924,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,621 : 418,608 = 418,608 : x
  2. Step 2: Convert to fraction form
    189,621/418,608 = 418,608/x
  3. Step 3: Cross multiply
    189,621x = 418,608 × 418,608
  4. Step 4: Simplify right side
    189,621x = 175,232,657,664
  5. Step 5: Solve for x
    x = 175,232,657,664/189,621
  6. Step 6: Final answer
    x = 924,120.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.